Geometry Mini-Design Project...Objectives, Explanation, and Time line
Objectives: -Learn/review concepts of volume and surface area and of applying volume and surface area formulas to solve problems.
-Practice thinking in 3 dimensional space and representing that space in 2 dimensional diagrams.
Each student is to design a 3 dimensional figure that includes at least one of each of the following shapes:
-prism
-cylinder
-sphere
-cone
-pyramid
There should be at least three areas of intersection. (I encourage you to have objects intersect on flat planes and not curved surfaces.) You may use portions of shapes instead of the full object (like a hemisphere instead of a sphere, for example.)
Possible suggestions for the design are: a super-duper hamster house, space station, underwater home, etc. Also, you are asked to come up with a reason that your figure's surface area and volume might need to be measured (a special space-proof wax that needs to coat the whole exterior surface, for instance.)
Your drawing(s) should be clear enough, with dimensions labeled, to accurately determine the surface area and volume of your figure. You will need to determine these measurements, and then you will eventually exchange drawings. Your new task is will be determine the surface area and volume of the figure given to you by another student. Finally, you will check the work of the person who received your original design.
For all calculations, you should include clearly the separate parts that you calculate, so that if there is a discrepancy between your work and the other person that works on your design, it will be easy to go back and see where possible mistakes were made.
The time line:
Due Tuesday March 17: Bring to class drawings with dimensions that you can find the volume and surface area of. You will have some time in class to do the actual calculations and ask questions. (I recognize that this may not be entirely clear as we haven't yet worked with volume, but my hope is to give you time to ask questions as you go, and that you'll learn by doing. I am of course available for whatever help you need.)
In class on March 17 you should be able to complete a clear and detailed drawing to give to someone else.
Thursday March 19: Turn in the calculations for the design given to you (total volume and surface area.) If you are crammed for time or need extra help, you can take the option of working during study hall the following day and turning it in on that Friday, March 20.
After break: Students will check each others' work and determine where there are differences and what happened if students get different calculations for the same design.